Yes, you can evict a tenant without a written lease in Colorado, but you must follow the legal process, which requires written notice and a court order. For nonpayment of rent, a 10-day notice to pay or quit is typically required; for other issues or no specific cause, a 21-day notice is generally required to terminate a month-to-month tenancy.
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The information for this answer was found on our Colorado Eviction Process answers.